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Finding the Fourth Proportional to 123,402.30, 185,103.46 and 29,908.05

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Solution

The fourth proportional to 123,402.30, 185,103.46 and 29,908.05 is: 44,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,402.30 : 185,103.46 = 29,908.05 : x
  2. Step 2: Convert to fraction form
    123,402.30/185,103.46 = 29,908.05/x
  3. Step 3: Cross multiply
    123,402.30x = 185,103.46 × 29,908.05
  4. Step 4: Simplify right side
    123,402.30x = 5,536,084,357.79
  5. Step 5: Solve for x
    x = 5,536,084,357.79/123,402.30
  6. Step 6: Final answer
    x = 44,862.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.